2347468744900 has 72 divisors (see below), whose sum is σ = 5271301755720. Its totient is φ = 906326615040.

The previous prime is 2347468744823. The next prime is 2347468744969. The reversal of 2347468744900 is 94478647432.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1229063364 + 2346239681536 = 35058^2 + 1531744^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9321034 + ... + 9569566.

It is an arithmetic number, because the mean of its divisors is an integer number (73212524385).

Almost surely, 2^{2347468744900} is an apocalyptic number.

2347468744900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2347468744900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635650877860).

2347468744900 is an abundant number, since it is smaller than the sum of its proper divisors (2923833010820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2347468744900 is a wasteful number, since it uses less digits than its factorization.

2347468744900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251833 (or 251826 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 58.

The spelling of 2347468744900 in words is "two trillion, three hundred forty-seven billion, four hundred sixty-eight million, seven hundred forty-four thousand, nine hundred".